Question

A stone is dropped vertically from the top of a tower of height 40 m. At...

A stone is dropped vertically from the top of a tower of height 40 m. At the same time a gun is aimed directly at the stone from the ground at a horizontal distance 30 m from the base of the tower and fired. If the bullet from the gun is to hit the stone before it reaches the ground, what is the minimum velocity of the bullet must be, approximately.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

the stone drops down due to gravity, while the bullet travels due to its firing burst. The greater the velocity of the bullet the earlier (and higher up) it hits the stone. Lowest and latest, it can hit the stone at the moment the latter touches the ground.

Time taken by the stone to hit the ground can be obtained from the laws of motion.

If the stone is to be hit at the latest instance (which is the lowest point too), the bullet has to travel at least 30 m by this time (assuming the trajectory of the bullet to be linear in short distance).

Therefore the required minimum velocity of the bullet = 30/2.855686 = 10.51 m/s.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A stone is thrown vertically up from the top of a tower with a certain initial...
A stone is thrown vertically up from the top of a tower with a certain initial velocity. It reaches ground in t seconds .(7.15). A second stone, thrown down from the same tower with the same initial velocity reaches ground in 3.6 seconds. Determine (i) the height of the tower, and (ii) the initial velocity of the stones
3. A stone is thrown vertically up from the ground with a velocity of 300fps. How...
3. A stone is thrown vertically up from the ground with a velocity of 300fps. How long must one wait before dropping a second stone from the top of a 600-ft tower if the two stones are to pass each other 200ft from the top of the tower? 4. A stone is dropped down a well and 5s later the sound of the splash is heard. If the velocity of sound is 340mps, find the depth of the well.
An object is thrown vertically upward with a speed of 40 m/s from the top of...
An object is thrown vertically upward with a speed of 40 m/s from the top of a cliff. It reaches a maximum height of 230 m with respect to the ground. How high is the cliff from the ground
a 2 kg block is dropped from a height of 10 m and loses 28% of...
a 2 kg block is dropped from a height of 10 m and loses 28% of its mechanical energy by the time it reaches the ground.with what speed does it hit the ground? a 20 gram bullet is shot vertically upwards 200 m/s into an initially stationary 2kg block, after which they move together. how high do they travel?
A ball is dropped from rest from the top of a building with height 50 meters....
A ball is dropped from rest from the top of a building with height 50 meters. At the same instant, you throw a ball upward from ground level carefully aimed to hit the falling ball. If the initial speed of your throw is 19 m/s, then the two balls collide at a height above the ground equal to: a) 4.50 m b) 7.61 m c) 12.2 m d) 16.1 m e) 2.15 m
A stone thrown from the top of the building is given an initial velocity of 8...
A stone thrown from the top of the building is given an initial velocity of 8 m/s at an angle of 20.0o below horizontal. It strikes the ground 3.00 s later. (a) How far horizontally from the base of the building does the stone strike the ground? (b) Find the height from which the stone is thrown? (c) How long does it take the ball to reach a point 10.0 m below the level of launching? (d) What are the...
A coin dropped from leaning tower of Pisa and falls from rest. a. What are its...
A coin dropped from leaning tower of Pisa and falls from rest. a. What are its position and velocity after 2 seconds? b. IF the height of the tower is 57 meters, how long does it take to hit the ground?
A stone is thrown from the top of a cliff with the initial velocity of 20.0...
A stone is thrown from the top of a cliff with the initial velocity of 20.0 m/s straight upward. The cliff is 50.0 m high and the stone just misses the edge of the cliff on its way down. Determine (a) the time needed for the stone to reach its maximum height; (b) the maximum height, as measured from the ground; (c) the time needed for the stone to return to the level of the thrower; (d) the velocity of...
1. Two identical eggs were thrown at the same time from the top of a building...
1. Two identical eggs were thrown at the same time from the top of a building of height 100 m at a speed 20. One egg was thrown at an angle 40° above the horizontal while another was thrown at the same angle but below the horizontal. How long does it take for the other egg to hit the ground after the one of the eggs hits the ground? Does the time difference between the eggs hitting the ground depend...
Two rocks are thrown from the top of a very tall tower. One of them is...
Two rocks are thrown from the top of a very tall tower. One of them is thrown vertically up with an initial velocity of vup = 15.4 m/s. The other rock is thrown horizontally to the right with an initial velocity of vright = 11.5 m/s. (See figure.) How far will the rocks be from each other after 4.08 s? (Neglect air resistance and assume that the rocks will not hit the ground or the tower.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT